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Finding the Fourth Proportional to 342,997.20, 514,279.80 and 143,456.40

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Solution

The fourth proportional to 342,997.20, 514,279.80 and 143,456.40 is: 215,094.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,997.20 : 514,279.80 = 143,456.40 : x
  2. Step 2: Convert to fraction form
    342,997.20/514,279.80 = 143,456.40/x
  3. Step 3: Cross multiply
    342,997.20x = 514,279.80 × 143,456.40
  4. Step 4: Simplify right side
    342,997.20x = 73,776,728,700.72
  5. Step 5: Solve for x
    x = 73,776,728,700.72/342,997.20
  6. Step 6: Final answer
    x = 215,094.26

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.